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Finding the Fourth Proportional to 109,389.88, 164,112.49 and 30,504.11

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Solution

The fourth proportional to 109,389.88, 164,112.49 and 30,504.11 is: 45,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,389.88 : 164,112.49 = 30,504.11 : x
  2. Step 2: Convert to fraction form
    109,389.88/164,112.49 = 30,504.11/x
  3. Step 3: Cross multiply
    109,389.88x = 164,112.49 × 30,504.11
  4. Step 4: Simplify right side
    109,389.88x = 5,006,105,371.07
  5. Step 5: Solve for x
    x = 5,006,105,371.07/109,389.88
  6. Step 6: Final answer
    x = 45,763.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.